Forced oscillation criteria for quasilinear elliptic inequalities with p(x)-Laplacian via Riccati method

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Abstract

Forced oscillation criteria for quasilinear elliptic inequalities with p(x)-Laplacian are derived by using the Riccati inequality. The approach used is to reduce forced oscillation problems for quasilinear elliptic inequalities with p(x)-Laplacian to one-dimensional oscillation problems for Riccati inequalities with variable exponents. More general quasilinear elliptic inequalities with mixed nonlinearities are also investigated.

Journal

  • Toyama mathematical journal

    Toyama mathematical journal 34 93-106, 2011

    Dept. of Mathematics, Faculty of Science, University of Toyama

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